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Increasing the Quantum Number, Dimensionality and Complexity of Entanglement

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Abstract

Complex transverse spatial modes of photons are very interesting for both, foundations and applications of quantum information. In a first experiment, we generate two-dimensional bi-partite entanglement where each photon carries an orbital angular momentum of a quantum number up to 300. Secondly, we demonstrate (100 × 100)-dimensional entanglement, using again the spatial modes of photons and a novel nonlinear criterion which uses only information about two-dimensional subspace correlations. In a third test, we increase the complexity of the state by entangling ”vector photons” that show a transverse varying polarization. Thereby, we demonstrate a surprising property: Such photons can be both entangled and not entangled in polarization depending on their transverse spatial position.

© 2015 Optical Society of America

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